equation

**Mhmh96** · April 12th 2012, 10:33 AM

Can we solve this equation without choices ?

9^x-8^x=3

**princeps** · April 12th 2012, 09:40 PM

Originally Posted by Mhmh96

Can we solve this equation without choices ?

9^x-8^x=3

Yes , graphically....

**a tutor** · April 12th 2012, 10:40 PM

or use an iterative method, for example...

$x_{n+1}=x_n-\frac{9^{x_n}-8^{x_n}-3}{9^{x_n}\ln 9 -8^{x_n} \ln 8}$

Starting with $x_o=1$

$x_5=1.367251988$
$x_6=1.367251981$

The above uses Newton's method.

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